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Finding the Third Proportional to 482,421 and 643,140.75

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Solution

The third proportional to 482,421 and 643,140.75 is: 857,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,421 : 643,140.75 = 643,140.75 : x
  2. Step 2: Convert to fraction form
    482,421/643,140.75 = 643,140.75/x
  3. Step 3: Cross multiply
    482,421x = 643,140.75 × 643,140.75
  4. Step 4: Simplify right side
    482,421x = 413,630,024,310.56
  5. Step 5: Solve for x
    x = 413,630,024,310.56/482,421
  6. Step 6: Final answer
    x = 857,404.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.